Barrow, Isaac, 1630-1677, Child, J. M. (James Mark), tr · Chicago, London : The Open court publishing company · leaf 114
erefore the curve TFK touches the curve YKN.But, by Lect. VI, § 4, the curve TFK is a hyperbola;^ letFS be the tangent to it. Then SF will touch the curveYFN also. Since mention is here made for the first time of a tangentto a hyperbola, we will determine the tangent to this curve,together with the… … Fig. 84.a line given in position, the rectangle contained by DE, DFis always equal to any the same area; also the straight line * Note the use of the auxiliary hyperbola. 94 BARROWS GEOMETRICAL LECTURES ET touches the curve XEM at E, and cuts VD in T; then, ifDS is taken equal to DT and FS is…
Geometry
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